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spayn [35]
3 years ago
5

Please help i dont understand​

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

5x^\circ+110^\circ=180^\circ                     [Supplementary angles]

5x^\circ=180^\circ -110^\circ

x^\circ=\dfrac{70^\circ}{5}

x^\circ=14^\circ

The value of x is 14 degrees.

2y^\circ+104^\circ=180^\circ                     [Supplementary angles]

2y^\circ=180^\circ -104^\circ

y^\circ=\dfrac{76^\circ}{2}

y^\circ=38^\circ

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

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How many solutions does this system have? y = 3 x minus 5. y = negative x + 4. one two an infinite number no solution
AveGali [126]

Answer:

One

Step-by-step explanation:

It is given that,

y = 3x-5 ....(1)

y = -x+4 .....(2)

We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

3x-5 = -x+4\\\\3x+x = 5+4\\\\4x = 9\\\\x=\dfrac{9}{4}

Put the value of x in equation (1) we get :

y = 3x-5\\\\y = 3\times \dfrac{9}{4}-5\\\\y=\dfrac{7}{4}

It means that the value of x is \dfrac{9}{4} and the value of y is \dfrac{7}{4}. Hence, the given equations has only one solution.

6 0
3 years ago
Write a complete sentence that states the type of transformation that was performed and explains the transformation in detail. Q
Cerrena [4.2K]
The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
                                          = (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point  A did.

4 0
3 years ago
A number d is more than 0 and less than 10
ludmilkaskok [199]

D>0<10 should be the answer

6 0
3 years ago
#9 and #10<br> Please show work
Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

y=2x+3 ----> equation A

x=y-8 ----> equation B

Solve by substitution

Substitute equation A in equation B

x=(2x+3)-8

solve for x

x=2x-5

2x-x=5

x=5

Find the value of y

y=2(5)+3=13

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

x=5y-1 ----> equation A

Remember that

1\ ft=12\ in

To convert inches to feet divide by 12

so

60\ in=60/12=5\ ft

x+y=5 ----> equation B

Solve the system by substitution

substitute equation A in equation B

(5y-1)+y=5

solve for y

5y+y=5+1

6y=6

y=1\ ft

Find the value of x

x=5(1)-1=4\ ft

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

3 0
3 years ago
Tristan wants to build a square garden in his backyard. If the garden is going to be 64 square feet, how many feet of material w
AnnZ [28]

Answer:

Tristan will need 8 to go around the perimeter

Step-by-step explanation:

because 8×8 is 64 so he will have enough

3 0
3 years ago
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